Question

In a batch of 280 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary

Answer 1

This is experimental probability.

If 12 were found to be defective out of 280 the experimental probability of a purifier being defective is:

12/280 which is:

4.3% (to nearest tenth of a percent)

Answer 2

`\text{Probability}=4.3\%`

Explanation:

Given : In a batch of 280 water purifiers, 12 were found to be defective.

To find : What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent.

Solution :

Total number of batch of purifiers = 280

Number of defective purifiers = 12

The probability that a water purifier chosen at random will be defective is given by,

`\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}`

`\text{Probability}=(12)/(280)`

`\text{Probability}=(3)/(70)`

Converting into percentage,

`\text{Probability}=(3)/(70)* 100`

`\text{Probability}=4.28\%`

Round to nearest tenths,

`\text{Probability}=4.3\%`